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Finding the Fourth Proportional to 8,315.00, 11,471.69 and 6,401.40

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Solution

The fourth proportional to 8,315.00, 11,471.69 and 6,401.40 is: 8,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.00 : 11,471.69 = 6,401.40 : x
  2. Step 2: Convert to fraction form
    8,315.00/11,471.69 = 6,401.40/x
  3. Step 3: Cross multiply
    8,315.00x = 11,471.69 × 6,401.40
  4. Step 4: Simplify right side
    8,315.00x = 73,434,846.54
  5. Step 5: Solve for x
    x = 73,434,846.54/8,315.00
  6. Step 6: Final answer
    x = 8,831.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.